Open AccessPN code tracking based on sub‐Nyquist and non‐commensurate sampling
Author(s) -
Jin Xiaojun,
Peng Zhen,
Ma Zhipeng,
Zhang Wei,
Xu Zhaobin,
Jin Zhonghe
Publication year - 2020
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2020.0552
Subject(s) - nyquist–shannon sampling theorem , code (set theory) , sampling (signal processing) , computer science , tracking (education) , electronic engineering , algorithm , mathematics , telecommunications , engineering , psychology , detector , pedagogy , set (abstract data type) , programming language
Increasingly high bandwidths are desired in modern navigation and autonomous RF ranging signal design to achieve better pseudo‐noise (PN) ranging accuracy. However, fulfilling the Nyquist criterion for such high‐bandwidth signals would be a challenging issue for system design. Considering that the Nyquist criterion is not a necessary condition for PN code tracking, sub‐Nyquist sampling can be adopted as a feasible solution to this issue. Nevertheless, it is at the expense of an increase in thermal noise caused by tracking error. This problem is particularly prominent for tracking weak signals such as navigation signals, which limits the applicability of this sampling scenario. As far as high‐precision autonomous PN ranging is concerned, however, the tracking error due to digital implementation is not negligible and even becomes the dominating factor instead of thermal noise. This means that the performance loss incurred by sub‐Nyquist sampling can be eliminated under high‐signal‐to‐noise ratio conditions. Exploiting this fact, this Letter proposes a novel PN code tracking approach based on sub‐Nyquist and non‐commensurate sampling, providing a solution to achieving high‐ranging accuracy while breaking the bounds of the Nyquist sampling theorem without performance degradation. The approach is very attractive for precise PN ranging applications demanding miniaturised implementation.